$T$-duality on nilmanifolds
Differential Geometry
2018-07-04 v5
Abstract
We study generalized complex structures and -duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called "Infinitesimal -duality". As an application we deal with the problem of finding symplectic structures on 2-step nilpotent Lie algebras. We also give a criteria for the intregability of the infinitesimal -duality of Lie algebras to topological -duality of the associated nilmanifolds.
Cite
@article{arxiv.1703.07497,
title = {$T$-duality on nilmanifolds},
author = {Viviana del Barco and Lino Grama and Leonardo Soriani},
journal= {arXiv preprint arXiv:1703.07497},
year = {2018}
}
Comments
V2: minor corrections and a reference added